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`a` and `b` are real numbers between 0 and 1 such that the points `Z_1 =a+ i`, `Z_2=1+ bi`, `Z_3= 0` form an equilateral triangle, then `a` and `b` are equal to

A

`a=2+sqrt(3)`

B

`a=4-sqrt(3)`

C

a = b

D

`a=2,b=sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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